Reduction formula for point group D3

Your representation

E 2C3 (z) 3C'2
12 0 -2

can be reduced to

A1 A2 E
1 3 4

Substraction of translational and rotational contributions results in

A1 A2 E
1 1 2



Force field analysis

Infrared and Raman activities (harmonic approximation)
Method A1 A2 E
Infrared - + +
Raman + - +

Number of force field parameters
Force field No. 1 No. 2 No. 3
linear 6 6 1
quadratic 36 21 5
cubic 216 56 10
quartic 1296 126 24
No. 1 : Total number of force constants .
No. 2 : Total number of force constants k.
No. 3 : Total number of nonvanishing force constants k.

Symmetry properties of force field parameters
Force field A1 A2 E
linear 1 1 2
quadratic 5 2 7
cubic 10 10 18
quartic 24 18 42

Number of independant internal coordinates 1

Literature




Character tables for chemically important point groups Character table for point group D3 Jacobs University Bremen